For any infinite-type surface \(S\) , it is not hard to see that \(S)\)  has diameter 2. If we have any hope of recovering the interesting mapping class group actions found in the finite-type setting, it is necessary to build alternatives to \(S)\) . One option is to replace curves with other objects; in this direction, Calegari and Bavard initiated the study of ray graphs [1]}, [2]}. In this note, following Durham–Fanoni–Vlamis, we consider alternatives where vertices correspond to curves on \(S\) , but where perhaps only a proper subset of curves are included, and where edges need not correspond to disjointness [3]}. We will say that a graph \(\Gamma \)  is a curve graph for \(S\)  if the vertices of \(\Gamma \)  represent some (not necessarily proper) subset of curves on \(S\)  and \(\Gamma \)  admits an action that restricts to the natural action of \(\operatorname{Map}(S)\)  on vertices. When a curve graph \(\Gamma \)  for \(S\)  is connected and has an infinite diameter orbit under the natural action of \(\operatorname{Map}(S)\) , we will call \(\Gamma \)  a good curve graph for \(S\) .
